1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
3 years ago
13

Please Help!! :D Find the value of y.

Mathematics
1 answer:
rjkz [21]3 years ago
4 0

Answer:

y=2\sqrt{2}

Step-by-step explanation:

The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

a^2+b^2=c^2

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

a^2+b^2=c^2

Substitute,

(1)^2+(y)^2=(3)^2

Simplify,

(1)^2+(y)^2=(3)^2

1+y^2=9

Inverse operations,

1+y^2=9

y^2=8

y=\sqrt{8}

Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (\sqrt{a*a}=a),

y=\sqrt{8}

8=2*2*2

y=\sqrt{8}

y=\sqrt{2*2*2}

y=2\sqrt{2}

You might be interested in
F(3) if f(x) = 2x + 4
Sliva [168]
It would be 10
You substitute “x”for “3” so the equation would be 2(3) + 4. Then you multiply 2 and 3, which is 6. Finally add the 4 to get 10.
6 0
3 years ago
Who was the first president Of the USA??
KiRa [710]
George Washington was the first president of USA.
8 0
3 years ago
Read 2 more answers
The widths of two similar rectangles are 10 m and 15 m. What is the ratio of the perimeters? Of the areas?
vitfil [10]
Area and perimeter are in the ratio of 1:3. but if u mean to ask about the ratio of perimeters & areas of both triangles. the answer would be 1:1
6 0
3 years ago
Plizz help me out on this oneee
Kobotan [32]
There are 30 students all together, and 4 of them are Freshman girls (Freshwomen ?). So the probability that one randomly chosen student is a Female Frosh is 4/30 = 2/15.
8 0
3 years ago
The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 mi
Orlov [11]

Answer:

a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 51200, \sigma = 8200

Probabilities:

A) Between 55,000 and 65,000 miles

This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So

X = 65000

Z = \frac{X - \mu}{\sigma}

Z = \frac{65000 - 51200}{8200}

Z = 1.68

Z = 1.68 has a pvalue of 0.954

X = 55000

Z = \frac{X - \mu}{\sigma}

Z = \frac{55000 - 51200}{8200}

Z = 0.46

Z = 0.46 has a pvalue of 0.677

0.954 - 0.677 = 0.277

0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

B) Less than 48,000 miles

This is the pvalue of Z when X = 48000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{48000 - 51200}{8200}

Z = -0.39

Z = -0.39 has a pvalue of 0.348

0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

C) At least 41,000 miles

This is 1 subtracted by the pvalue of Z when X = 41,000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{41000 - 51200}{8200}

Z = -1.24

Z = -1.24 has a pvalue of 0.108

1 - 0.108 = 0.892

0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

D) A lifetime that is within 10,000 miles of the mean

This is the pvalue of Z when X = 51200 + 10000 = 61200 subtracted by the pvalue of Z when X = 51200 - 10000 = 412000. So

X = 61200

Z = \frac{X - \mu}{\sigma}

Z = \frac{61200 - 51200}{8200}

Z = 1.22

Z = 1.22 has a pvalue of 0.889

X = 41200

Z = \frac{X - \mu}{\sigma}

Z = \frac{41200 - 51200}{8200}

Z = -1.22

Z = -1.22 has a pvalue of 0.111

0.889 - 0.111 = 0.778

0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

4 0
3 years ago
Other questions:
  • What is pq^5 pq^2 Greatest Common Factor????????
    6·1 answer
  • You a Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Seville in the year 1842. Outside your barracks wi
    15·2 answers
  • 9.(6.879) is it positive or negative
    9·1 answer
  • What is 2+2? im really stuck on this one and cant figure it out!
    8·1 answer
  • List 3 values that would make this inequality true 3n < 18
    13·1 answer
  • Module 4 End Test Study
    7·1 answer
  • Remove the parentheses and simplify the expression. 1/9(9r+3)-(r+4)
    8·1 answer
  • $262 to the markup rate of 30% what is the final price?
    12·2 answers
  • Plz can someone help me with number 5?
    13·1 answer
  • If a, b, c are in A.P. show that<br>a (b + c)/bc,b(c + a) /ca, c(a-b )/bc<br>are in A.P.<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!